G-Numbers: Importance-Necessity Concept in Uncertain Environment
International Journal of Management and Fuzzy Systems
Volume 5, Issue 1, March 2019, Pages: 27-32
Received: Mar. 20, 2019; Accepted: May 6, 2019; Published: May 30, 2019
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Authors
Saeid Jafarzadeh Ghoushchi, Faculty of Industrial Engineering, Urmia University of Technology, Urmia, Iran
Mohammad Khazaeili, Faculty of Industrial Engineering, Urmia University of Technology, Urmia, Iran
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Abstract
Decisions are mainly grounded on information; therefore, the information should have the least ambiguity and uncertainty to make beneficial and reliable decisions. Many concepts such as fuzzy sets theory, Z-Numbers, and D-Numbers, have been proposed. All the previous concepts have some desirable properties while they do not consider the concept of necessity. In this paper, a new concept, named as G-numbers is proposed to reduce the uncertainty of information based on importance and necessity concepts. In a G-numbers, G= (I, N), I is the Importance component and N is the Necessity component on the real-valued uncertain variables. In general, I and N are described as linguistic variables, Examples: an appointment (high, very high); investment in the stock market (high, medium). An ordered pair relates to computations with G-numbers. In this study, the concept of a G-number is introduced, and the arithmetic operations on G-numbers are presented. Finally, a numerical example is used to illustrate the efficiency of the proposed approach. The concept of G-numbers can be used for a wide range of practical issues in various areas, such as inter alia, social, economic, and risk assessment, and decision-making.
Keywords
Importance, Necessity, Uncertain Information, Fuzzy Numbers, G-Numbers, Decision Making
To cite this article
Saeid Jafarzadeh Ghoushchi, Mohammad Khazaeili, G-Numbers: Importance-Necessity Concept in Uncertain Environment, International Journal of Management and Fuzzy Systems. Vol. 5, No. 1, 2019, pp. 27-32. doi: 10.11648/j.ijmfs.20190501.15
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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